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Finding the Fourth Proportional to 11,638.96, 16,062.11 and 6,334.12

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Solution

The fourth proportional to 11,638.96, 16,062.11 and 6,334.12 is: 8,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.96 : 16,062.11 = 6,334.12 : x
  2. Step 2: Convert to fraction form
    11,638.96/16,062.11 = 6,334.12/x
  3. Step 3: Cross multiply
    11,638.96x = 16,062.11 × 6,334.12
  4. Step 4: Simplify right side
    11,638.96x = 101,739,332.19
  5. Step 5: Solve for x
    x = 101,739,332.19/11,638.96
  6. Step 6: Final answer
    x = 8,741.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.